Local stability to the Einstein-Euler system in Schwarzschild space-time

DOI10.1007/s10255-022-1082-8zbMath1490.35492OpenAlexW4226227894MaRDI QIDQ2125654

Jun Wu, Bo-ling Guo

Publication date: 14 April 2022

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-022-1082-8

zbMATH Keywords

local stabilitySchwarzschild metricNash-Moser (-Hamilton) theorem

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Hyperbolic equations and hyperbolic systems (35L99) Einstein equations (35Q76) Euler equations (35Q31)

Cites Work

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• The nonlinear future stability of the FLRW family of solutions to the Euler-Einstein system with a positive cosmological constant
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• Future stability of the Einstein-non-linear scalar field system
• Smooth static solutions of the Einstein/Yang-Mills equations
• A conformal approach for the analysis of the non-linear stability of radiation cosmologies
• On spherically symmetric motions of a gaseous star governed by the Euler-Poisson equations
• Existence and properties of spherically symmetric static fluid bodies with a given equation of state
• The inverse function theorem of Nash and Moser
• The cosmic no-hair theorem and the non-linear stability of homogeneous Newtonian cosmological models
• The global future stability of the FLRW solutions to the Dust-Einstein system with a positive cosmological constant

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